Generalized Sylvester Equations

Generalized Sylvester Equations

Author: Guang-Ren Duan

Publisher: CRC Press

Published: 2015-06-09

Total Pages: 457

ISBN-13: 1482243989

DOWNLOAD EBOOK

Provides One Unified Formula That Gives Solutions to Several Types of GSEsGeneralized Sylvester equations (GSEs) are applied in many fields, including applied mathematics, systems and control, and signal processing. Generalized Sylvester Equations: Unified Parametric Solutions presents a unified parametric approach for solving various types of GSEs


Emerging Applications of Algebraic Geometry

Emerging Applications of Algebraic Geometry

Author: Mihai Putinar

Publisher: Springer Science & Business Media

Published: 2008-12-10

Total Pages: 382

ISBN-13: 0387096868

DOWNLOAD EBOOK

Recent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of research. The articles in this volume highlight a range of these applications and provide introductory material for topics covered in the IMA workshops on "Optimization and Control" and "Applications in Biology, Dynamics, and Statistics" held during the IMA year on Applications of Algebraic Geometry. The articles related to optimization and control focus on burgeoning use of semidefinite programming and moment matrix techniques in computational real algebraic geometry. The new direction towards a systematic study of non-commutative real algebraic geometry is well represented in the volume. Other articles provide an overview of the way computational algebra is useful for analysis of contingency tables, reconstruction of phylogenetic trees, and in systems biology. The contributions collected in this volume are accessible to non-experts, self-contained and informative; they quickly move towards cutting edge research in these areas, and provide a wealth of open problems for future research.


Numerical Methods for Linear Control Systems

Numerical Methods for Linear Control Systems

Author: Biswa Datta

Publisher: Elsevier

Published: 2004-02-24

Total Pages: 736

ISBN-13: 008053788X

DOWNLOAD EBOOK

Numerical Methods for Linear Control Systems Design and Analysis is an interdisciplinary textbook aimed at systematic descriptions and implementations of numerically-viable algorithms based on well-established, efficient and stable modern numerical linear techniques for mathematical problems arising in the design and analysis of linear control systems both for the first- and second-order models. Unique coverage of modern mathematical concepts such as parallel computations, second-order systems, and large-scale solutions Background material in linear algebra, numerical linear algebra, and control theory included in text Step-by-step explanations of the algorithms and examples


Transactions on Engineering Technologies

Transactions on Engineering Technologies

Author: Gi-Chul Yang

Publisher: Springer

Published: 2014-12-30

Total Pages: 465

ISBN-13: 9401795886

DOWNLOAD EBOOK

This volume contains revised and extended research articles written by prominent researchers who participated in the international conference on Advances in Engineering Technologies, which was held in Hong Kong, 12-14 March, 2014. Topics covered include engineering physics, engineering mathematics, scientific computing, control theory, artificial intelligence, electrical engineering, communications systems, and industrial applications. The book offers the state of art of tremendous advances in engineering technologies and physical science and applications, and also serves as an excellent reference work for researchers and graduate students working with/on engineering technologies and physical science and applications.


Handbook of Signal Processing in Acoustics

Handbook of Signal Processing in Acoustics

Author: David Havelock

Publisher: Springer Science & Business Media

Published: 2008-10-26

Total Pages: 1932

ISBN-13: 038730441X

DOWNLOAD EBOOK

The Handbook of Signal Processing in Acoustics brings together a wide range of perspectives from over 100 authors to reveal the interdisciplinary nature of the subject. It brings the key issues from both acoustics and signal processing into perspective and is a unique resource for experts and practitioners alike to find new ideas and techniques within the diversity of signal processing in acoustics.


Perturbation Theory for Matrix Equations

Perturbation Theory for Matrix Equations

Author: M. Konstantinov

Publisher: Gulf Professional Publishing

Published: 2003-05-20

Total Pages: 443

ISBN-13: 0080538673

DOWNLOAD EBOOK

The book is devoted to the perturbation analysis of matrix equations. The importance of perturbation analysis is that it gives a way to estimate the influence of measurement and/or parametric errors in mathematical models together with the rounding errors done in the computational process. The perturbation bounds may further be incorporated in accuracy estimates for the solution computed in finite arithmetic. This is necessary for the development of reliable computational methods, algorithms and software from the viewpoint of modern numerical analysis. In this book a general perturbation theory for matrix algebraic equations is presented. Local and non-local perturbation bounds are derived for general types of matrix equations as well as for the most important equations arising in linear algebra and control theory. A large number of examples, tables and figures is included in order to illustrate the perturbation techniques and bounds. Key features: • The first book in this field • Can be used by a variety of specialists • Material is self-contained • Results can be used in the development of reliable computational algorithms • A large number of examples and graphical illustrations are given • Written by prominent specialists in the field


Algorithms of the Synthesis of Optimal Regulations

Algorithms of the Synthesis of Optimal Regulations

Author: F.A. ALIEV, V.B. LARIN, N.I. VELIEVA

Publisher: Outskirts Press

Published: 2022-03-30

Total Pages: 410

ISBN-13: 197724985X

DOWNLOAD EBOOK

This book focuses on methods to solutions regarding matrix equations: algebraic, periodic, and unilateral Riccati equations, Lyapunov equations, Silvester equations, generalized Silvester equations, and factorization of matrix polynomials in continuous and discrete cases. These equations are used to solve problems of the synthesis of optimal controllers. Also presented is the problem of the synthesis of optimal controllers in the frequency domain when measuring part of the phase coordinates. A general parameterization algorithm is proposed for its solution. The well-known parameterizations (Youla–Jabr–Bongiorno (1976) and Desoer–Liu–Murrau–Saeks (1980)) are demonstrated by us to form a special case of the proposed general parameterization algorithm. The obtained results can be applied to solve various problems in oil production by the gas-lift method and rod pump systems, unmanned aerial vehicles, and walking machines. Each section is illustrated by examples. The MATLAB environment is used for numerical solution of the problems. The book is intended for students and experts in applied mathematics and control systems theory.